A more general definition of the temperature coefficient of resistivity is α = 1ρ|dρdT|where ρ is the resistivity at temperature T. (a) Assuming α is constant, show that ρ = ρ0eα(T−T0) where ρ0 is the resistivity at temperature T0. (b) Using the series expansion ex ≈ 1 + x for x << 1, show that the resistivity is given approximately by the expression ρ = ρ0[1 + α(T − T0)] for α(T − T0) ≪ 1

A more general definition of the temperature coefficient of resistivity is α = 1ρ|dρdT|where ρ is the resistivity at temperature T. (a) Assuming α is constant, show that ρ = ρ0eα(T−T0) where ρ0 is the resistivity at temperature T0. (b) Using the series expansion ex ≈ 1 + x for x << 1, show that the resistivity is given approximately by the expression ρ = ρ0[1 + α(T − T0)] for α(T − T0) ≪ 1

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 46P: An electronic device designed to operate at any temperature in the range from 10.0C to 55.0C...

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